Stochastic Resonance in Neural Systems with Small-World Connections
YUAN Wu-Jie 1,2, LUO Xiao-Shu 1, YANG Ren-Huan 1
1College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 5410042Department of Physics, Huaibei Coal Industry Teachers' College, Huaibei 235000
Stochastic Resonance in Neural Systems with Small-World Connections
YUAN Wu-Jie 1,2;LUO Xiao-Shu 1;YANG Ren-Huan 1
1College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 5410042Department of Physics, Huaibei Coal Industry Teachers' College, Huaibei 235000
摘要We study the stochastic resonance (SR) in Hodgkin--Huxley (HH) neural ystems with small-world (SW) connections under the noise synaptic current and periodic stimulus, focusing on the dependence of properties of SR on coupling strength c. It is found that there exists a critical coupling strength c* such that if c<c*, then the SR can appear on the SW neural network. specially, dependence of the critical coupling strength c* on the number of neurons N shows the monotonic even almost linear increase of c* as N increases and c* on the SW network is smaller than that on the random network. For the effect of the SW network on the phenomenon of SR, we show that decreasing the connection-rewiring probability p of the network topology leads to an enhancement of SR. This indicates that the SR on the SW network is more prominent than that on the random network (p=1.0). In addition, it is noted that the effect becomes remarkable as coupling strength increases. Moreover, it is found that the SR weakens but resonance range becomes wider with the increase of c on the SW neural network.
Abstract：We study the stochastic resonance (SR) in Hodgkin--Huxley (HH) neural ystems with small-world (SW) connections under the noise synaptic current and periodic stimulus, focusing on the dependence of properties of SR on coupling strength c. It is found that there exists a critical coupling strength c* such that if c<c*, then the SR can appear on the SW neural network. specially, dependence of the critical coupling strength c* on the number of neurons N shows the monotonic even almost linear increase of c* as N increases and c* on the SW network is smaller than that on the random network. For the effect of the SW network on the phenomenon of SR, we show that decreasing the connection-rewiring probability p of the network topology leads to an enhancement of SR. This indicates that the SR on the SW network is more prominent than that on the random network (p=1.0). In addition, it is noted that the effect becomes remarkable as coupling strength increases. Moreover, it is found that the SR weakens but resonance range becomes wider with the increase of c on the SW neural network.
YUAN Wu-Jie;LUO Xiao-Shu;YANG Ren-Huan. Stochastic Resonance in Neural Systems with Small-World Connections[J]. 中国物理快报, 2007, 24(3): 835-838.
YUAN Wu-Jie, LUO Xiao-Shu, YANG Ren-Huan. Stochastic Resonance in Neural Systems with Small-World Connections. Chin. Phys. Lett., 2007, 24(3): 835-838.
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2007, Vol. 24 
